# a copper wire of diameter 6mm is evenly wrapped on a cylinder of length 15cm and diameter 49cm to cover its whole surface . find the length and volume of the wire. if the specific gravity of copper be 9kg per cu cm , find the weight of the wire.

Diameter of copper wire = 6 mm i.e. its radius = 3 mm
Length of cylinder = 15 cm = 150 mm
Diameter of cylinder = 49 cm = 490 mm

Number of turns of copper wire = $\frac{150}{6}=25$
Length of one turn =
So total length of copper wire =
Therefore volume of copper wire =

Volume ( in cubic centimetres ) = 1089 $c{m}^{3}$
Specific gravity of wire = $9kg/c{m}^{3}$
So weight of wire = $\left(1089×9\right)kg=9801kg$

• 57

The quantity of the cylinder = pie*radius^2*height =3.14*5^2*15 =3.14*25*15 =1177.5

• -15
What are you looking for?